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Finding the Fourth Proportional to 538,132.64, 807,199.98 and 505,249.73

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Solution

The fourth proportional to 538,132.64, 807,199.98 and 505,249.73 is: 757,875.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,132.64 : 807,199.98 = 505,249.73 : x
  2. Step 2: Convert to fraction form
    538,132.64/807,199.98 = 505,249.73/x
  3. Step 3: Cross multiply
    538,132.64x = 807,199.98 × 505,249.73
  4. Step 4: Simplify right side
    538,132.64x = 407,837,567,915.01
  5. Step 5: Solve for x
    x = 407,837,567,915.01/538,132.64
  6. Step 6: Final answer
    x = 757,875.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.